7ax+2ay=a(7x+o)

Solution for 7ax+2ay=a(7x+o) equation:

Simplifying
7ax + 2ay = a(7x + o)

Reorder the terms:
7ax + 2ay = a(o + 7x)
7ax + 2ay = (o * a + 7x * a)
7ax + 2ay = (ao + 7ax)

Add '-7ax' to each side of the equation.
7ax + -7ax + 2ay = ao + 7ax + -7ax

Combine like terms: 7ax + -7ax = 0
0 + 2ay = ao + 7ax + -7ax
2ay = ao + 7ax + -7ax

Combine like terms: 7ax + -7ax = 0
2ay = ao + 0
2ay = ao

Solving
2ay = ao

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1ao' to each side of the equation.
-1ao + 2ay = ao + -1ao

Combine like terms: ao + -1ao = 0
-1ao + 2ay = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1o + 2y) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0
Subproblem 2
Set the factor '(-1o + 2y)' equal to zero and attempt to solve:

Simplifying
-1o + 2y = 0

Solving
-1o + 2y = 0

Move all terms containing a to the left, all other terms to the right.

Add 'o' to each side of the equation.
-1o + o + 2y = 0 + o

Combine like terms: -1o + o = 0
0 + 2y = 0 + o
2y = 0 + o
Remove the zero:
2y = o

Add '-2y' to each side of the equation.
2y + -2y = o + -2y

Combine like terms: 2y + -2y = 0
0 = o + -2y

Simplifying
0 = o + -2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}